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Fast Fourier Transform01:10

Fast Fourier Transform

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The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
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Radiological investigations, including X-rays and computed tomography (CT) scans, are critical for diagnosing and evaluating various medical conditions. These imaging techniques provide valuable insights into the body's internal structures, aiding in the detection of abnormalities, assessment of disease progression, and development of treatment strategies. This article delves into two primary radiological investigations, chest X-rays and CT scans, outlining their purpose, procedures, and...
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The genomes of eukaryotes are punctuated by long stretches of sequence which do not code for proteins or RNAs. Although some of these regions do contain crucial regulatory sequences, the vast majority of this DNA serves no known function. Typically, these regions of the genome are the ones in which the fastest change, in evolutionary terms, is observed, because there is typically little to no selection pressure acting on these regions to preserve their sequences.
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Related Experiment Video

Updated: Jan 28, 2026

Equipment Setup and Artifact Removal for Simultaneous Electroencephalogram and Functional Magnetic Resonance Imaging for Clinical Review in Epilepsy
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[Fast Removal of CT Ring Artifacts].

Yi-chao Zhou, Ming-yuan Xie, Ling Yang

    Sichuan Da Xue Xue Bao. Yi Xue Ban = Journal of Sichuan University. Medical Science Edition
    |July 30, 2016
    PubMed
    Summary

    This study presents a new method to effectively remove CT ring-shaped artifacts, improving the accuracy of CT reconstruction images. The technique enhances diagnostic clarity by reducing interference from these common imaging distortions.

    Area of Science:

    • Medical Imaging
    • Image Processing
    • Computational Science

    Background:

    • Ring-shaped artifacts are a common problem in Computed Tomography (CT) imaging.
    • These artifacts degrade image quality and can interfere with accurate diagnosis.
    • Existing methods for artifact removal may have limitations in speed or effectiveness.

    Purpose of the Study:

    • To develop a rapid and effective method for removing CT ring-shaped artifacts.
    • To enhance the accuracy of CT reconstruction images.
    • To minimize the impact of artifacts on diagnostic information.

    Main Methods:

    • CT images with ring-shaped artifacts underwent a novel coordinate transformation.
    • A two-dimensional filter was applied for initial image filtering.

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  • Subsequent one-dimensional filtering and a final transformation step were used for image restoration.

    • Main Results:

    • The developed algorithm accurately restored the original CT image.
    • The two-step coordinate transformation effectively reduced the interference of ring-shaped artifacts.
    • Useful image information was preserved with minimal degradation.

    Conclusions:

    • The proposed method offers an improvement over existing techniques for CT artifact removal.
    • This approach successfully overcomes limitations of previous methods.
    • The study demonstrates the potential for obtaining high-quality CT images with reduced artifacts.